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Entanglement entropy from charge statistics: Exact relations for noninteracting many-body systems
Open accessAbstract
We present an exact expression for the entanglement entropy generated at a quantum point contact between noninteracting electronic leads in terms of the full counting statistics of charge fluctuations, which we illustrate with examples from both equilibrium and nonequilibrium transport. The formula is also applicable to ground-state entanglement entropy in systems described by noninteracting fermions in any dimension, which in one dimension include the critical spin-1/2 $\mathit{XX}$ and Ising models where conformal field theory predictions for the entanglement entropy are reproduced from the full counting statistics. These results may play an important role in experimental measurements of entanglement entropy in mesoscopic structures and cold atoms in optical lattices.
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Cites
Entanglement in many-body systems
Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
Entanglement Entropy and Quantum Field Theory
Calabrese, P., & Cardy, J. (2004) · arXiv · doi:10.48550/arxiv.hep-th/0405152 · Cited by 3,275
Entanglement in Quantum Critical Phenomena
Vidal, G., Latorre, J. I., Rico, E., & Kitaev, A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.227902 · Cited by 2,793
General Entanglement Scaling Laws from Time Evolution
Eisert, J., & Osborne, T. J. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.150404 · Cited by 201
Cited by
Quantum entanglement in condensed matter systems
Laflorencie, N. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.008 · Cited by 765
Metadata
- Authors
- Song, H. F., Flindt, C., Rachel, S., Klich, I., & Le Hur, K.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2011-04-25
- Volume
- 83
- Issue
- 16
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1645448956
- Cited by
- 163
- References
- 4
- FWCI
- 7.47
- Type
- journal article
- Language
- en
- Open access
- green
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- Song, H. F., Flindt, C., Rachel, S., Klich, I., & Le Hur, K. (2011). Entanglement entropy from charge statistics: Exact relations for noninteracting many-body systems. Physical Review B. https://doi.org/10.1103/physrevb.83.161408
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